Template:Table of thermodynamic potentials

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Name Symbol Formula Natural variables
Internal energy <math>U</math> <math>\int \left( T \, \mathrm{d}S - p \, \mathrm{d}V + \sum_i \mu_i \mathrm{d}N_i \right)</math> <math>S, V, \{N_i\}</math>
Helmholtz free energy <math>F</math> <math>U - TS</math> <math>T, V, \{N_i\}</math>
Enthalpy <math>H</math> <math>U + pV</math> <math>S, p, \{N_i\}</math>
Gibbs free energy <math>G</math> <math>U + pV - TS</math> <math>T, p, \{N_i\}</math>
Landau potential, or
grand potential
<math>\Omega</math>, <math>\Phi_\text{G}</math> <math>U - T S -</math><math>\sum_i\,</math><math>\mu_i N_i</math> <math>T, V, \{\mu_i\}</math>